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Finding the Fourth Proportional to 1,037.11, 1,431.62 and 687.67

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Solution

The fourth proportional to 1,037.11, 1,431.62 and 687.67 is: 949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.11 : 1,431.62 = 687.67 : x
  2. Step 2: Convert to fraction form
    1,037.11/1,431.62 = 687.67/x
  3. Step 3: Cross multiply
    1,037.11x = 1,431.62 × 687.67
  4. Step 4: Simplify right side
    1,037.11x = 984,482.13
  5. Step 5: Solve for x
    x = 984,482.13/1,037.11
  6. Step 6: Final answer
    x = 949.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.